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Finding the Fourth Proportional to 382.50, 573.81 and 126.06

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Solution

The fourth proportional to 382.50, 573.81 and 126.06 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 573.81 = 126.06 : x
  2. Step 2: Convert to fraction form
    382.50/573.81 = 126.06/x
  3. Step 3: Cross multiply
    382.50x = 573.81 × 126.06
  4. Step 4: Simplify right side
    382.50x = 72,334.49
  5. Step 5: Solve for x
    x = 72,334.49/382.50
  6. Step 6: Final answer
    x = 189.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.